1100000101101 has 64 divisors (see below), whose sum is σ = 1665301248000. Its totient is φ = 639746553600.

The previous prime is 1100000101093. The next prime is 1100000101129. The reversal of 1100000101101 is 1011010000011.

It is not a de Polignac number, because 1100000101101 - 2³ = 1100000101093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1100000101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100000101301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 212722246 + ... + 212727416.

It is an arithmetic number, because the mean of its divisors is an integer number (26020332000).

Almost surely, 2^{1100000101101} is an apocalyptic number.

1100000101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100000101101 is a deficient number, since it is larger than the sum of its proper divisors (565301146899).

1100000101101 is a wasteful number, since it uses less digits than its factorization.

1100000101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6530.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1100000101101 its reverse (1011010000011), we get a palindrome (2111010101112).

The spelling of 1100000101101 in words is "one trillion, one hundred billion, one hundred one thousand, one hundred one".